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23209951978444 = 22721175114819679
BaseRepresentation
bin1010100011011111111001…
…11100010110001111001100
310001011211221110102100112111
411101233330330112033030
511020232440201302234
6121210301005113404
74613602150450300
oct521577474261714
9101154843370474
1023209951978444
11743931589a690
12272a2b1b58864
13cc48c5ba853a
145a3520c57d00
152a3b265c3664
hex151bfcf163cc

23209951978444 has 144 divisors (see below), whose sum is σ = 51652999157760. Its totient is φ = 9023767200000.

The previous prime is 23209951978441. The next prime is 23209951978471. The reversal of 23209951978444 is 44487915990232.

It is a super-2 number, since 2×232099519784442 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23209951978444.

It is not an unprimeable number, because it can be changed into a prime (23209951978441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2397965197 + ... + 2397974875.

It is an arithmetic number, because the mean of its divisors is an integer number (358701383040).

Almost surely, 223209951978444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23209951978444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25826499578880).

23209951978444 is an abundant number, since it is smaller than the sum of its proper divisors (28443047179316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23209951978444 is a wasteful number, since it uses less digits than its factorization.

23209951978444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11940 (or 11931 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 67.

The spelling of 23209951978444 in words is "twenty-three trillion, two hundred nine billion, nine hundred fifty-one million, nine hundred seventy-eight thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 751 1078 1481 1502 2156 2962 3004 5257 5924 8261 9679 10367 10514 16291 16522 19358 20734 21028 32582 33044 36799 38716 41468 57827 65164 67753 72569 73598 106469 114037 115654 135506 145138 147196 212938 228074 231308 271012 290276 404789 425876 456148 474271 745283 798259 809578 948542 1112231 1490566 1596518 1619156 1897084 2224462 2981132 3193036 4448924 5216981 7268929 7785617 10433962 12234541 14334599 14537858 15571234 20867924 24469082 28669198 29075716 31142468 48938164 50882503 54499319 57338396 79958219 85641787 100342193 101765006 108998638 157680589 159916438 171283574 200684386 203530012 217997276 315361178 319832876 342567148 356177521 401368772 559707533 599492509 630722356 702395351 712355042 1103764123 1119415066 1198985018 1404790702 1424710084 2207528246 2238830132 2397970036 2809581404 3917952731 4415056492 7726348861 7835905462 10765283849 15452697722 15671810924 21530567698 30905395444 43061135396 75356986943 118418122339 150713973886 236836244678 301427947772 473672489356 527498908601 828926856373 1054997817202 1657853712746 2109995634404 3315707425492 5802487994611 11604975989222 23209951978444